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30020123131400 = 23521964211230343
BaseRepresentation
bin1101101001101100110101…
…10001100111111000001000
310221021220011222220202021002
412310312122301213320020
512413322203010201100
6143503015411434132
76215611431235613
oct664663261477010
9127256158822232
1030020123131400
11962450a980566
12344a1265b5948
131399b684991ac
1475ada5b6517a
15370d5b7682d5
hex1b4d9ac67e08

30020123131400 has 96 divisors (see below), whose sum is σ = 73481803262400. Its totient is φ = 11374265721600.

The previous prime is 30020123131373. The next prime is 30020123131433. The reversal of 30020123131400 is 413132102003.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23784629 + ... + 25014971.

It is an arithmetic number, because the mean of its divisors is an integer number (765435450650).

Almost surely, 230020123131400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30020123131400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36740901631200).

30020123131400 is an abundant number, since it is smaller than the sum of its proper divisors (43461680131000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30020123131400 is a wasteful number, since it uses less digits than its factorization.

30020123131400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236799 (or 1236790 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 30020123131400 its reverse (413132102003), we get a palindrome (30433255233403).

The spelling of 30020123131400 in words is "thirty trillion, twenty billion, one hundred twenty-three million, one hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 950 1900 3800 6421 12842 25684 32105 51368 64210 121999 128420 160525 243998 256840 321050 487996 609995 642100 975992 1219990 1230343 1284200 2439980 2460686 3049975 4879960 4921372 6099950 6151715 9842744 12199900 12303430 23376517 24399800 24606860 30758575 46753034 49213720 61517150 93506068 116882585 123034300 187012136 233765170 246068600 467530340 584412925 935060680 1168825850 2337651700 4675303400 7900032403 15800064806 31600129612 39500162015 63200259224 79000324030 150100615657 158000648060 197500810075 300201231314 316001296120 395001620150 600402462628 750503078285 790003240300 1200804925256 1501006156570 1580006480600 3002012313140 3752515391425 6004024626280 7505030782850 15010061565700 30020123131400